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6 .4 Dependent and Independent Events

6 .4 Dependent and Independent Events. Compound Events. Events that occur at one after another. Coin Flip. I grab an L oonie out of my pocket……. Independent Event. Within a compound event, when the occurrence of one event has no effect on the occurrence of another.

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6 .4 Dependent and Independent Events

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  1. 6.4 Dependent and Independent Events

  2. Compound Events • Events that occur at one after another

  3. Coin Flip • I grab an Loonie out of my pocket……

  4. Independent Event • Within a compound event, when the occurrence of one event has no effect on the occurrence of another. • This it called independent events.

  5. Simple Independent Events • A coin is flipped and turns up heads. What is the probability that the second flip will turn up heads? • A coin is flipped four times and turns up heads each time. What is the probability that the fifth trail • Find the probability of tossing five heads in a row?

  6. Independent Events P(A and B) = P(A) x P(B)

  7. Example • Richards travels the same route to school every day. He has determined that there is a 0.7 probability that he will wait for a light somewhere and a 0.4 probability that he will hear his favorite song “Don’t Wanna miss a thing” by Aerosmith. • What is probability Richards will NOT hear favorite song and wait at light? • What is odds in favor that Richards will NOT hear favorite song and wait at light?

  8. Hockey • A pro hockey team has eight wingers. 3 of these wingers are thought of as “All-Stars”. The team decided to randomly select two wingers to go to a children’s hospital to visit the children. What is the probability that 2 “All-Star” wingers will be selected?

  9. Dependent Events • In a compound event, when the probability of the second event depends on the probability of the second.

  10. Hockey • A pro hockey team has eight wingers. 3 of these wingers are thought of as “All-Stars”. The team decided to randomly select two wingers to go to a children’s hospital to visit the children. What is the probability that 2 “All-Star” wingers will be selected?

  11. Dependent Events P(A and B) = P(A) x P(B|A)

  12. Assignment • Pg 334 #’s 1-4,6,10

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